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Finding the Fourth Proportional to 860.84, 1,291.66 and 470.82

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Solution

The fourth proportional to 860.84, 1,291.66 and 470.82 is: 706.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.84 : 1,291.66 = 470.82 : x
  2. Step 2: Convert to fraction form
    860.84/1,291.66 = 470.82/x
  3. Step 3: Cross multiply
    860.84x = 1,291.66 × 470.82
  4. Step 4: Simplify right side
    860.84x = 608,139.36
  5. Step 5: Solve for x
    x = 608,139.36/860.84
  6. Step 6: Final answer
    x = 706.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.